Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in thousands of cartons) by the following equation.
$ 625p^2 - x^2 =100$

if 35000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 5¢/carton/week, at what rate is the supply changing? (round your answer to the nearest whole number.) (hint: to find the value of p when x = 35, solve the supply equation for p when x = 35.)

cartons per week?